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pantera1 [17]
3 years ago
10

Last one, use trigonometry to help you solve for y given that one side is 4 and there is an angle of 50 degrees.

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
3 0

Answer:

y = 6.22

You can solve this in two ways.

1.) Use SOH CAH TOA:

I typically start off by labeling the sides of the triangle with H (hypotenuse), O (opposite), and A (adjacent). Because I need to figure out what y is when given an angle and 4, I will use CAH, or cosine.

\cos(angle)  =  \frac{adjacent}{hypotenuse}

\cos(50)  =  \frac{4}{y}

\cos(50)  \times y = 4

y =  \frac{4}{ \cos(50) }

y = 6.22

2.) Use Law of Sines:

Solve for the last angle inside the triangle first.

180 - (50 + 90) = 40

Then use the angle you found (40°) in the equation.

\frac{4}{ \sin(40) }  =  \frac{y}{ \sin(90) }

\frac{4}{ \sin(40) }  \times  \sin(90)  = y

y = 6.22

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